期刊论文详细信息
Cogent Mathematics | |
Finiteness properties of generalized local cohomology modules for minimax modules | |
Sh. Payrovi1  Z. Rahimi-Molaei1  I. Khalili-Gorji1  | |
[1] Imam Khomeini International University; | |
关键词: generalized local cohomology; minimax module; | |
DOI : 10.1080/23311835.2017.1327683 | |
来源: DOAJ |
【 摘 要 】
Let R be a commutative Noetherian ring, I an ideal of R, M be a finitely generated R-module and t be a non-negative integer. In this paper, we introduce the concept of I, M-minimax R-modules. We show that $ \text{ Hom}_R(R/I,\, H^t_I(M,\, N)/K) $ is I,M-minimax, for all I,M-minimax submodules K of $ H^t_I(M,\, N) $, whenever N and $ H_{I}^{0}(M) $, $ H_{I}^{1}(M), \, \cdots , \, H_{I}^{t-1}(M) $ are I, M-minimax R-modules. As consequence, it is shown that $ \text{ Ass}_R H^t_I(M,\, N)/K $ is a finite set.
【 授权许可】
Unknown